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Extensions 1→N→G→Q→1 with N=C14 and Q=C4.10D4

Direct product G=N×Q with N=C14 and Q=C4.10D4
dρLabelID
C14×C4.10D4224C14xC4.10D4448,820

Semidirect products G=N:Q with N=C14 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4.10D4) = C2×C4.12D28φ: C4.10D4/M4(2) → C2 ⊆ Aut C14224C14:1(C4.10D4)448,670
C14⋊2(C4.10D4) = C2×C28.10D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C14224C14:2(C4.10D4)448,760

Non-split extensions G=N.Q with N=C14 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C14.1(C4.10D4) = C42.2D14φ: C4.10D4/M4(2) → C2 ⊆ Aut C14448C14.1(C4.10D4)448,22
C14.2(C4.10D4) = (C2×Dic7)⋊C8φ: C4.10D4/M4(2) → C2 ⊆ Aut C14224C14.2(C4.10D4)448,26
C14.3(C4.10D4) = C28.47D8φ: C4.10D4/M4(2) → C2 ⊆ Aut C14448C14.3(C4.10D4)448,39
C14.4(C4.10D4) = C28.2D8φ: C4.10D4/M4(2) → C2 ⊆ Aut C14448C14.4(C4.10D4)448,43
C14.5(C4.10D4) = M4(2)⋊Dic7φ: C4.10D4/M4(2) → C2 ⊆ Aut C14224C14.5(C4.10D4)448,111
C14.6(C4.10D4) = (C2×C28)⋊C8φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C14224C14.6(C4.10D4)448,85
C14.7(C4.10D4) = C28.(C4⋊C4)φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C14224C14.7(C4.10D4)448,87
C14.8(C4.10D4) = C42.8D14φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C14448C14.8(C4.10D4)448,100
C14.9(C4.10D4) = C28.10D8φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C14448C14.9(C4.10D4)448,104
C14.10(C4.10D4) = C7×C22.M4(2)central extension (φ=1)224C14.10(C4.10D4)448,128
C14.11(C4.10D4) = C7×C42.2C22central extension (φ=1)448C14.11(C4.10D4)448,134
C14.12(C4.10D4) = C7×C4.10D8central extension (φ=1)448C14.12(C4.10D4)448,136
C14.13(C4.10D4) = C7×C22.C42central extension (φ=1)224C14.13(C4.10D4)448,147

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